SRB measures and homoclinic relation for endomorphisms

DOI10.1007/S10955-016-1458-3zbMath1361.37034arXiv1505.03845OpenAlexW2211020301MaRDI QIDQ288205

Ali Tahzibi, Pouya Mehdipour

Publication date: 25 May 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03845

zbMATH Keywords

entropyLyapunov exponentsSRB measurehomoclinic pointslocal diffeomorphism

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (3)

Katok closing lemma for non-singular endomorphisms ⋮ Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers ⋮ SRB measures for partially hyperbolic attractors of local diffeomorphisms

Cites Work

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• SRB measures and Pesin’s entropy formula for endomorphisms
• On the ergodicity of hyperbolic Sinaĭ–Ruelle–Bowen measures: the constant unstable dimension case
• Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin

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